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Finding the Fourth Proportional to 122,040.35, 183,043.65 and 37,858.40

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Solution

The fourth proportional to 122,040.35, 183,043.65 and 37,858.40 is: 56,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,040.35 : 183,043.65 = 37,858.40 : x
  2. Step 2: Convert to fraction form
    122,040.35/183,043.65 = 37,858.40/x
  3. Step 3: Cross multiply
    122,040.35x = 183,043.65 × 37,858.40
  4. Step 4: Simplify right side
    122,040.35x = 6,929,739,719.16
  5. Step 5: Solve for x
    x = 6,929,739,719.16/122,040.35
  6. Step 6: Final answer
    x = 56,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.